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Finding the Fourth Proportional to 1,023.91, 1,536.41 and 475.95

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Solution

The fourth proportional to 1,023.91, 1,536.41 and 475.95 is: 714.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.91 : 1,536.41 = 475.95 : x
  2. Step 2: Convert to fraction form
    1,023.91/1,536.41 = 475.95/x
  3. Step 3: Cross multiply
    1,023.91x = 1,536.41 × 475.95
  4. Step 4: Simplify right side
    1,023.91x = 731,254.34
  5. Step 5: Solve for x
    x = 731,254.34/1,023.91
  6. Step 6: Final answer
    x = 714.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.